What is the Greatest Common Factor of 7337 and 7349?

Greatest common factor (GCF) of 7337 and 7349 is 1.

GCF(7337,7349) = 1

We will now calculate the prime factors of 7337 and 7349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7337 and 7349.

How to find the GCF of 7337 and 7349?

We will first find the prime factorization of 7337 and 7349. After we will calculate the factors of 7337 and 7349 and find the biggest common factor number .

Step-1: Prime Factorization of 7337

Prime factors of 7337 are 11, 23, 29. Prime factorization of 7337 in exponential form is:

7337 = 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 7349

Prime factors of 7349 are 7349. Prime factorization of 7349 in exponential form is:

7349 = 7349¹

Step-3: Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1, 11, 23, 29, 253, 319, 667

Step-4: Factors of 7349

List of positive integer factors of 7349 that divides 7337 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7337 and 7349. The biggest common factor number is the GCF number.
So the greatest common factor 7337 and 7349 is 1.

Also check out the Least Common Multiple of 7337 and 7349